a) The point at which a company's costs equal its revenues isthe break-even point. C represents the cost, in dollars, of x unitsof a product and R represents the revenue, in dollars, from thesale of x units. Find the number of units that must be produced andsold in order to break even. That is, find the value of x for whichC=R.

C=15x+32,000 and R=17x.

How many units must be produced and sold in order to breakeven?

b) A bicycle travels at aspeed of 55 miles per hour for x hours. Find an expression for thedistance that the bicycle travels.

c) The price per unit, p, and the demand, x, for a particularmaterial is related by the linear equation p =140 -7/8 X, while thesupply is given by the linear equation

p=7/8x. At what value of p does supply equal demand?

d) Suppose that a cyclist began a 476 mi ride across a state atthe western edge of the state, at the same time that a cartraveling toward it leaves the eastern end of the state. If thebicycle and car met after

8.5 hr and the car traveled 32.2 mph faster than the bicycle,find the average rate of each.

The car's average rate is

The bicycle's average rate is

e) A baseball team has home games on Thursday and Saturday.The two games together earn $4640.00 for the team. Thursday 's gamegenerates$300.00 less than Saturday 's

game. How much money was taken in at each game? How much moneydid Thursday 's game generate? How much money did Saturday 's gamegenerate?